Multiobjective Duality in Variational Problems with Higher Order Derivatives

Iqbal.  Husain; Rumana. G.  Mattoo

doi:10.4236/cn.2010.22021

Iqbal. Husain, Rumana. G. Mattoo

Abstract: A multiobjective variational problem involving higher order derivatives is considered and optimality condi-tions for this problem are derived. A Mond-Weir type dual to this problem is constructed and various duality results are validated under generalized invexity. Some special cases are mentioned and it is also pointed out that our results can be considered as a dynamic generalization of the already existing results in nonlinear programming.

Keywords: Multiobjective Variational Problem; Efficiency; Duality; Pseudoinvexity; Quasinvexity; Nonlinear Programming

Cite this paper: nullI. Husain and R. Mattoo, "Multiobjective Duality in Variational Problems with Higher Order Derivatives," Communications and Network, Vol. 2 No. 2, 2010, pp. 138-144. doi: 10.4236/cn.2010.22021.

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